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Finding the Fourth Proportional to 3,432.84, 5,156.14 and 2,048.87

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Solution

The fourth proportional to 3,432.84, 5,156.14 and 2,048.87 is: 3,077.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,432.84 : 5,156.14 = 2,048.87 : x
  2. Step 2: Convert to fraction form
    3,432.84/5,156.14 = 2,048.87/x
  3. Step 3: Cross multiply
    3,432.84x = 5,156.14 × 2,048.87
  4. Step 4: Simplify right side
    3,432.84x = 10,564,260.56
  5. Step 5: Solve for x
    x = 10,564,260.56/3,432.84
  6. Step 6: Final answer
    x = 3,077.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.